Abstract
This paper studies alternative techniques for identifying stock pairs in a pairs-trading strategy over 1980–2014. We consider two main techniques: the distance approach and the cointegration approach. We also consider a range of parameterizations of the trading system design. Parameterization of the trading system matters for the profitability of pairs trading. We find that the cointegration approach, despite using an optimal in-sample parameterization, yields significant returns only in the 1980s. The distance approach performs better, producing significantly positive risk-adjusted returns in all sub-periods. However, when transaction costs are properly taken into account, the returns largely disappear in recent years.
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Notes
Specifically, the cointegration approach is often motivated in terms of common stochastic trends that arise from common fundamentals for the two securities. Vidyamurthy (2004) and others relate the cointegration model to the arbitrage pricing theory.
Specifically, we use the algorithm “jcitest” in Matlab, the description of which is: “Johansen tests assess the null hypothesis H(r) of cointegration rank less than or equal to r among the numDims-dimensional time series in Y against alternatives H(numDims) (trace test) or H(r+1) (maxeig test). The tests also produce maximum likelihood estimates of the parameters in a vector error-correction (VEC) model of the cointegrated series”.
Gatev et al. (2006) suggest that data-snooping bias is a reason to avoid exploring alternative parameterizations. Data-snooping bias is a valid argument, of course, but surely institutions that trade pairs, such as hedge funds, have studied alternative parameterizations. However, those studies would be largely proprietary. The present study is not.
This is consistent with anecdotal evidence from the industry. For example, Schmerken (2006) reports that “[p]airs trades usually are meant for investors looking for a short-term profit in the market”. “The average time for a trade to be open is 15 days”, says LCM’s Gaubert. “A position could be held as long as a month”.
Jensen’s alpha is estimated for each sub-period by regressing the monthly pairs-portfolio returns on a constant (Jensen’s alpha) and the market return net of the risk-free rate. The same procedure is used below to estimate the Fama-French four-factor model. Data for the market excess return, as well as the other variables used in the Fama-French four-factor model considered below, are obtained from Kenneth French’s website (https://doi.org/mba.tuck.dartmouth.edu/pages/faculty/ken.french/data_library.html). Reported t-statistics in the market model and Fama-French model are robust to heteroscedasticity and autocorrelation.
A normal distribution has a skew of 0 and a kurtosis of 3.
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Acknowledgements
We are grateful to two referees for suggestions. This paper represents the views of the authors and does not represent the views, practices, or policies of Vestcor Investment Management Corporation.
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Smith, R.T., Xu, X. A good pair: alternative pairs-trading strategies. Financ Mark Portf Manag 31, 1–26 (2017). https://doi.org/10.1007/s11408-016-0280-x
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DOI: https://doi.org/10.1007/s11408-016-0280-x